Re: Definite integral in closed form?

Originally Posted by Prove It

Maybe try integration by parts with and ...

I've tried that already, but it's not conclusive. Whatever I try with integration by parts, I only manage to express the above integral in terms of a similar integral, but with the logarithm squared, or the denominator squared. So it's making things only more difficult instead of simpler.

By the way, I happened to find the exact value of this integral by playing around with WolframAlpha and doing some extra algebra. It reads as follows: